Will give a medal and fan...

Mike was working on solving the exponential equation 37x = 12; however, he is not quite sure where to start. Using complete sentences, describe to Mike how to solve this equation and how solving would be different if the bases were equal.

Question

Will give a medal and fan... 


Mike was working on solving the exponential equation 37x = 12; however, he is not quite sure where to start. Using complete sentences, describe to Mike how to solve this equation and how solving would be different if the bases were equal.

dumbcow · Answer

If 
$$a^x = b$$
then 
$$x = \log_{a} b$$
If bases are equal
$$a^x = a^n$$
then you can just set exponents equal
$$x = n$$

anonymous · Answer

So, 

37x=12

Then, x=log37 (12)

What do you mean if the bases are equal?

dumbcow · Answer

$$37^x = 37^4$$
you dont have to use log
just say x = 4

anonymous · Answer

Ohhhh okay! That makes so much more sense. Thank you!!! :D

dumbcow · Answer

yw :)